A fair coin is flipped and it is noted whether heads or tail

A fair coin is flipped and it is noted whether heads or tails show. A fair 20-sided die is tossed and the number on the bottom face is noted. What is the probability of the event \"tails shows on the coin and an even number on the die\"?

Solution

A coin is tossed p = prob for tail = 0.5

Die with 20 sides is tossed.

The die showing and the coin events are independent.

Hence Prob (tail shows on the coin and even number of the die)

= Prob for tail x prob for even no

= 0.5x 0.5

= 0.25